报告题目:Conditional mean dimension

报告人:梁兵兵博士(波兰科学院数学研究所 )

报告地点:维格堂319
报告时间:2020年1月14日, 10:00-11:00

摘要:Mean dimension is an invariant of dynamical systems which can distinguish systems of infinite entropy. 
We  introduce the  notion  of  conditional  mean  dimension for a topological dynamical system relative to a factor system. 
With the help of this notion, an inequality is obtained to estimate the mean dimension of the extension system.
This inequality can be treated as a generalization of the formula for Cartesian products of systems.
 Conditional mean dimension for a $G$-extension is computed.


邀请人:史恩慧